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jenyasd209 [6]
3 years ago
12

Kaitlyn creates an architectural blueprint of a rectangular dining room.The area of the actual dining room is 900 times as large

as the area of the dining room on the blueprint.The length of the dining room on the blueprint is 4 inches.What is the length of the actual dining room?
Mathematics
1 answer:
puteri [66]3 years ago
3 0
Well, since the actual size is 900 times as large as the size in blueprint, this would probably be division.  If I'm right, you would first do 900 divide by 4 would equal to 225.  so the actual size of the dining room is 225.
I hope this helps...
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Find the product of (2x − 3)(2x2 7x − 1). 4x3 − 6x2 − 9x 3 4x3 8x2 − 23x 3 4x3 20x2 − 9x 3 4x3 − 6x2 − 23x 3.
wlad13 [49]

Product of polynomials can be done by distribution of multiplication over addition. The product of  (2x - 3)(2x^2 + 7x  - 1) is 4x^3 + 8x^2 -23x + 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

(2x - 3)(2x^2 + 7x  - 1)  = 2x(2x^2 + 7x  - 1) -3(2x^2 + 7x  - 1) \\(2x - 3)(2x^2 + 7x  - 1)  = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x  - 1)   = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x  - 1)   = 4x^3 + 8x^2 -23x + 3

It is because when bases are same and there is multiplication, then powers add up, so we have: a^b \times a^c = a^{b+c}

Also, we've

(-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve

where -ve, +ve are sign of operands and result.

That's why 2 \times -1 = -2

Thus,

The product of   (2x - 3)(2x^2 + 7x  - 1)  is 4x^3 + 8x^2 -23x + 3

Learn more about product of polynomials here:

brainly.com/question/9106484

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3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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<span>Hope that helps and correct me if I'm wrong!</span>
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